Free field realization of $q$-deformed primary fields for $U_q(\widehat{\sl}_2)$

dc.creatorMatsuo, A.
dc.date1992-12-05
dc.date1992-12-05
dc.date.accessioned2026-07-07T09:01:05Z
dc.date.available2026-07-07T09:01:05Z
dc.descriptionThe $q$-vertex operators of Frenkel and Reshetikhin are studied by means of a $q$-deformation of the Wakimoto module for the quantum affine algebra $U_q(\widehat{\sl}_2)$ at an arbitrary level $k\ne 0,-2$. A Fock module version of the $q$-deformed primary field of spin $j$ is introduced, as well as the screening operators which (anti-)commute with the action of $U_q(\widehat{\sl}_2)$ up to a total difference of a field. A proof of the intertwining property is given for the $q$-vertex operators corresponding to the primary fields of spin $j\notin {1 \over2}\Z_{\geq0}$, which is enough to treat a general case. A sample calculation of the correlation function is also given.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9212040
dc.identifierhttp://arxiv.org/abs/hep-th/9212040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148207
dc.subjectHigh Energy Physics - Theory
dc.titleFree field realization of $q$-deformed primary fields for $U_q(\widehat{\sl}_2)$
dc.typetext

Files

Collections